SEARCH FOR THE CONFORMAL SCALAR HAIR AT ARBITRARY-D

Authors
KLIMCIK C
Citation
C. Klimcik, SEARCH FOR THE CONFORMAL SCALAR HAIR AT ARBITRARY-D, Journal of mathematical physics, 34(5), 1993, pp. 1914-1926
Citations number
18
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
34
Issue
5
Year of publication
1993
Pages
1914 - 1926
Database
ISI
SICI code
0022-2488(1993)34:5<1914:SFTCSH>2.0.ZU;2-Y
Abstract
The recent result that there is no Bekenstein black hole at D > 4 is c onfirmed by the direct integration of the field equations of the self- gravitating conformal scalar field. The case D = 3 where the result tu rns out to be same is also solved. The curvature singularities of the obtained solutions are analyzed and it is shown that there do exist sp ecial (critical) space-times which, however, are of the black hole typ e only at D = 4.